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7421920 = 255114217
BaseRepresentation
bin11100010011111111100000
3111222001221221
4130103333200
53400000140
6423024424
7120041152
oct34237740
914861857
107421920
11420a220
12259b114
1316cb28c
14db2ad2
159b914a
hex713fe0

7421920 has 48 divisors (see below), whose sum is σ = 19132848. Its totient is φ = 2698240.

The previous prime is 7421891. The next prime is 7421923. The reversal of 7421920 is 291247.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7421923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349 + ... + 3868.

It is an arithmetic number, because the mean of its divisors is an integer number (398601).

Almost surely, 27421920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7421920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566424).

7421920 is an abundant number, since it is smaller than the sum of its proper divisors (11710928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7421920 is a wasteful number, since it uses less digits than its factorization.

7421920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 7421920 is about 2724.3200986668. The cubic root of 7421920 is about 195.0617380669.

It can be divided in two parts, 742 and 1920, that added together give a palindrome (2662).

The spelling of 7421920 in words is "seven million, four hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 4217 8434 16868 21085 33736 42170 46387 67472 84340 92774 134944 168680 185548 231935 337360 371096 463870 674720 742192 927740 1484384 1855480 3710960 7421920